Inference for a simple step-stress model based on ordered ranked set sampling |
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| Institution: | 1. Department of Mathematics, Al-Azhar University, Nasr City, Cairo 11884, Egypt;2. Department of Mathematics, Al-Baha University, Saudi Arabia;3. Department of Mathematics, The University of Jordan, Amman 11942, Jordan;4. King Abdulaziz University, Jeddah, Saudi Arabia;1. Institute of Information Engineering, Sanming University, Fujian 365004, China;2. KLATASDS-MOE, School of Statistics, East China Normal University, Shanghai 200241, China;3. Department of Statistics, Zhejiang Gongshang University, Zhejiang 310018, China;1. Microbiology Department, Faculty of Medicine, Minia university, Egypt;2. Pathology Department, Faculty of Medicine, Ain Shams University, Egypt;3. Biochemistry Department, Faculty of Pharmacy (Girls), Al-Azhar University, Egypt |
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| Abstract: | In this paper, we considered the inference problem on simple step-stress accelerated life test data from one-parameter exponential distribution under type-I censored ordered ranked set sample with cumulative exposure model. The Bayesian estimators and credible intervals for the model parameters are developed and compared with the corresponding estimators based on simple random sampling. Two real data sets and numerical simulation evaluations are presented to illustrate all the results developed here. The simulation study indicated that the proposed Bayes estimators and credible intervals based on ordered ranked set sampling performed better than their counterparts using simple random sampling. |
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